L Liu, W Gao, H Yu, DE Keyes - Journal of Computational Physics, 2024 - Elsevier
For linear and nonlinear systems arising from the discretization of PDEs, multiplicative Schwarz preconditioners can be defined based on subsets of the unknowns that derive from …
A nonlinear elimination preconditioned inexact Newton (NEPIN) algorithm is proposed for problems with localized strong nonlinearities. Due to unbalanced nonlinearities (``nonlinear …
One-and two-level parallel asynchronous methods for the numerical solution of nonlinear systems of equations, especially those arising from (nonlinear) partial differential equations …
On the Nonlinear Dirichlet–Neumann Method and Preconditioner for Newton’s Method Page 1 On the Nonlinear Dirichlet–Neumann Method and Preconditioner for Newton’s Method F …
This article focuses on the numerical solution of the Diffusive Wave equation posed in a domain containing a large number of polygonal perforations. These numerous perforations …
C Kamthorncharoen - 2022 - archiv.ub.uni-heidelberg.de
We study on Restricted Additive Schwarz Preconditioned Exact Newton method (RASPEN), a nonlinear preconditioning of Newton's method for solving the nonlinear algebraic systems …
MJ Gander, F Nataf - International Conference on Domain Decomposition …, 2022 - Springer
Substructuring of Arbitrary Domain Decomposition Methods Page 1 Substructuring of Arbitrary Domain Decomposition Methods Martin J. Gander and Frédéric Nataf 1 History of …
C McCoid, MJ Gander - International Conference on Domain …, 2022 - Springer
Cyclic and Chaotic Examples in Schwarz-Preconditioned Newton Methods Page 1 Cyclic and Chaotic Examples in Schwarz-Preconditioned Newton Methods Conor McCoid and Martin J …